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Topics 1–16: Online Cumulative/Benchmark Assessment
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Sheila draws three rectangles with a perimeter of 14.
Part A
Which of the following sizes of rectangles could Sheila have drawn?
A. 2 x 5
B. 3 x 5
C. 3x4
D. 2 x 4
E.
1 x 6
Answers
Answer:
The following sizes of rectangles could have been drawn: A, C and E
The formula for X's cumulative distribution function (CDF) is
a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14
b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14
c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11
d. The cumulative distribution function of X, for x = 5, F(5) = 1
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14
b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14
c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11
d. The formula for X's cumulative distribution function (CDF) is
F(x) = P(X < x)
For x = 1, F(1) = 1/7
For x = 2, F(2) = 1/7 + 1/14 = 3/14
For x = 3, F(3) = 1/7 + 1/14 + 3/14 = 5/14
For x = 4, F(4) = 1/7 + 1/14 + 3/14 + 2/7 = 11/14
For x = 5, F(5) = 1
As a result, X's CDF is:
F(x) = {1/7, x < 1
3/14, 1 ≤ x < 2
5/14, 2 ≤ x < 3
11/14, 3 ≤ x < 4
1, x ≥ 4}
Learn more about probability here:
brainly.com/question/30034780
#SPJ2
complete question:
Let X have probability mass function
x 1 2 3 4 5
px(x) 1/7 1/14 3/14 2/7 2/7a. Calculate P(X≤3).
b. Calculate P(X<3).
c. Calculate P(X<4.12|X>1.638).
d. Find the cumulative distribution function of X.
Related Questions
(6x-4) (3x+4)º find the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
The angles form a straight line so they add to 180 degrees
6x-4 + 3x+4 = 180
Combine like terms
9x=180
Divide by 9
9x/9 = 180/9
x= 20
20
Hope this helps! :)
______________
Which of the following statements are true? Check all that apply.
Answers
What if I don’t have a opposite in my trigonometry is it Sah Coh or toa
Answers
Answer:
Without an opposite, the only operation that can be used is C a/h or Cos Adjacent/ Hypotenuse
Answer:
sah
Step-by-step explanation:
Select the correct answer.
Consider this equation.
cos(9) =
V11
5
If & is an angle in quadrant I, what is the value of sin(0)
OA.
V14
5
B.
154
11
OC.
14
5
0D.
154
11
Answers
Answer:
c
Step-by-step explanation:
because x=9
Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].
What is the sin theta?Sin theta is defined as the ratio of perpendicular and hypotenuse.
The given equation is;
[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]
The cos[tex]\theta[/tex] is given by;
[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]
By applying Pythagoras theorem the value of base is;
[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]
The value of sin[tex]\theta[/tex] is;
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]
Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].
Learn more about trigonometry here;
https://brainly.com/question/26719838
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The table shows a linear function. Which equation represents the function?
Answers
Question is not complete and so I have attached the complete question.
Answer:
C: f(x) = -½x + 4
Step-by-step explanation:
Using slope formula between 2 points, we know that;
slope; m = (y2 - y1)/(x2 - x1)
Let's consider 2 points from the table;
(0, 4) and (-4, 6)
Thus;
m = (6 - 4)/(-4 - 0)
m = 2/-4
m = -½
Now using slope intercept form equation which is y - y1 = m(x - x1), we can find the equation of the function by picking on point say (0, 4).
Thus;
y - 4 = -½(x - 0)
y - 4 = -½x
y = -½x + 4
Thus;
f(x) = -½x + 4
what is 4b + 6 ≤ 18. I don't know how to solve it and don't know the answer.
Answers
Answer:
b≤3
Step-by-step explanation:
For this problem, you want to solve it similarly to linear equations.
We start with 4b+6≤18.
Subtracting 6 from both sides gives 4b≤12.
From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.
**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!
Which is an equation of the line that passes through (2,-5) and (6, 3)?
A. y=+* -6
B. y = 2x + 12
C. y =
D. y = 2x-9
Answers
Answer:
D
Step-by-step explanation:
Your answer is D trust me
[ Easy Math ] Help me pls
Answers
Answer:
1) you're going to have to flip the coins (or fake numbers) for the experimental trials.
2) for the theoretical, there is 1/2 chance for heads or tails with each toss, so you'd expect that out of 10 tosses, 5 heads, 5 tails. out of 100 tosses- 50 heads, 50 tails.
When tossing 2 coins- 1/2×1/2 = 1/4 (25%) chance that 2 heads, 2 tails, or 1 heads & 1 tails. Deviation value comes from after you done your flipping and recorded your data. So if on 100 flips you actually got 50 and 50 (rarely us that exact ;), the deviation from the expected of 50/50 would be 0.00. If however you flipped 100 heads or 100 tails (impossible), then the deviation value would be 1.00.
|(100-50)| ÷ 50 = 50÷50 = 1.00
So usually you may have data like: 47/53 or something a little off than 50/50, making deviation |(47-50)| ÷ 50 = 3÷50 = 0.06.
Now the number of flips is important for the outcome! So if a coin toss if 10 times had 4 heads, 6 tails, the deviation value would be:
|(4-5)| ÷ 5 = 1÷5 = 0.20
So increasing the # flips DECREASES the deviation value!!
Whether it's from 10 to 100, or from 100 to 200. Look at my example of how the 10-flip deviation of 0.20 decreased to 0.06 with 100-flip
Một ủy ban an toàn kiểm tra ngẫu nhiên 900 công nhân xây dựng trong thời gian làm việc, thấy có 48 công nhân không mang mũ bảo hộ. Hãy ước lượng tỷ lệ công nhân không mang mai bảo hộ trong thời gian làm việc với độ tin cậy 98%
Answers
Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
= [tex]\frac{48}{900}\times 100 = 5.3 %[/tex]%
WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior
Answers
they are alternate interior angles
Answer:
The answer is constructive interori
Step-by-step explanation:
can someone pls help for brainlest
Answers
Answer:
c
Step-by-step explanation:
:D 100%
Solve by finding the square roots: 3x2 - 9 = 3
Answers
Answer:
x= 2 or x= -2
Step-by-step explanation:
3x² -9= 3
+9 on both sides:
3x²= 9 +3
Simplify:
3x²= 12
Divide by 3 on both sides:
x² =4
Square root both sides:
[tex]x = \sqrt{4} [/tex]
x= 2 or x= -2
give four pairs of prime numbers whose difference is 2
Answers
Answer:
(3, 1) (5, 3) (7, 5) (13, 11)
Step-by-step explanation:
There are only three of them that I know of:
(7, 5) (13, 11) (19,17)
Read the table.
What does the middle column show?
the names of the countries on the table
how long residents are likely to live
the average education of residents
how the birth rate has changed
Answers
Answer:
How long the residents are likely to live
hope this helps u out
Answer:
How long the residents are likely to live
Step-by-step explanation:
just did it on edge 2022
hope this helps
PLS HELP PLS !!!!!! k
Answers
Answer:
The top right is 5,1
top left -4,3
bottom left the one near the -4 is -4,1
and the one below that is -2,5
And last the bottom right is 4,1
Step-by-step explanation:
Your welcome :)
If 13 candy bars cost $21.97, how much do 20 candy bars cost?
Answers
Step 1: Find out the cost for one candy bar
To find out the cost for one candy bar, you will need to divide $21.97 by 13. Another way to say this would be by rewriting the equation as 13x=21.97. After dividing, you see that one candy bar is $1.69.
Step 2: Find out the cost for 20 candy bars
To figure out the cost of 20 candy bars, simply multiply the price for one by 20. Another way to say this would be by rewriting this as 1.69x20=33.8.
Step 3: Your answer!
By completing the above steps, you have figured out the answer of $33.80.
Hope this helps!
What is the solution to the system of equations
Answers
Answer:
(0,3)
Step-by-step explanation:
solve for 2y
-X-2y= -6
2y=6+2x
substitute the given value of 2y into the equation -x-2y=-6
-x-(6+3x)= -6
solve for x
x=0
substitute the given value of X into the equation 2y=6+3x
2y=6+3×0
solve for y
y=3
the solution is (0,3)
HELP FAST THIS IS TIMED I'M DYING AHHHHHHHHHH
Answers
180 times
45 cups can wash 180 times
What is the last answer and how is it wrong?
Answers
Answer and Step-by-step explanation:
I think it wants you to keep it in the form it showed. I remember doing this this year, so it should be:
[tex]\frac{f(a+h)-f(a)}{h} = \frac{3a +3h + 6 -(3a + 6) }{h}[/tex]
Then after this step you distribute the negative, and combine like terms. After, you divide the h and you get 3 as your answer.
IF it still doesn't work like how I showed it, contact your teacher for help, saying you are pretty sure you got it right (if you put mine and it didn't work) but it is saying it is incorrect.
#teamtrees #PAW (Plant And Water)
7) If £1 = €1.14.
Work out what €144 is in pounds.
Answers
Answer:
[tex]126\frac{6}{19}[/tex] £
Step-by-step explanation:
£1 = €1.14 /[tex]*\frac{144}{1.14}[/tex]
£[tex]\frac{144}{1.14}[/tex]=144€= [tex]126\frac{6}{19} \\[/tex]£
Which of the following is the function f(x) if f^-1(x) = 5x - 19?
A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19
Answers
Answer:
number of A is correct answer
Question 6 of 10
If the coefficient of determination for a data set containing 8 points is 1, how
many of the data points must lie on the regression line for the data set?
A. 8
B. 6
C. 7
D. 5
SUBMIS
Answers
Answer:
5Sabihin mo po Kung maliAnswer:
A. 8
Step-by-step explanation:
Keep in mind my answer choices are in a different order.
Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.
Answers
Step-by-step explanation:
x-intercept => point (2, 0)
y-intercept => point (0, -4)
find p(0),p(1)in (a)p(X)=X⁴_X/2+3X (b) p(X)=2+y+2y²_y³
Answers
Answer:
i hope this will help u
Step-by-step explanation:
if p(0) so answer is 0
if p(1) so answer is 7/2 or 3.5
Select ALL the correct answers. Which of the given functions have an average rate of change of -12 on the interval [0, 2]?
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the functions are not given.
The general explanation on calculating average rate of change is as follows.
The average rate of change (m) of function f(x) over interval (a,b) is:
[tex]m = \frac{f(b) - f(a)}{b-a}[/tex]
Take for instance:
[tex]f(x) = x^2 + 4x + 4[/tex]
[tex](a,b) = (0,2)[/tex]
The average rate of change over [tex](0,2)[/tex] is:
[tex]m = \frac{f(2) - f(0)}{2-0}[/tex]
[tex]m = \frac{f(2) - f(0)}{2}[/tex]
Calculate f(2) and f(0)
[tex]f(2) = 2^2 + 4*2 + 4 =16[/tex]
[tex]f(0) = 0^2 + 4*0 + 4 =4[/tex]
So, we have:
[tex]m = \frac{f(2) - f(0)}{2}[/tex]
[tex]m = \frac{16 - 4}{2}[/tex]
[tex]m = \frac{12}{2}[/tex]
[tex]m = 8[/tex]
Answer:
Maybe you could show what is trying to be solved.
Step-by-step explanation:
3
Find the value of x. Round your answer to the nearest tenth.
22
X
58
Answers
Answer:
13.7
Step-by-step explanation:
take 58 degree as reference angle
using tan rule
tan 58 =opposite/adjacent
1.600=22/x
x=22/1.600
x=13.75
x=13.7
The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b
Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6
Answers
Answer:
D, 34.8 + b =54.6
[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]
i need help with 3x + 1 >_ 22=
Answers
Answer:
x>7
Step-by-step explanation:
Each bag of rocks for an aquarium costs $12.35. Which equation best represents y, the total cost of x bags of rocks?
Answers
Answer:
The equation is
y = $ 12.35 x
Step-by-step explanation:
Cost of one bag of rocks = $ 12.35
Let there are x bags of rocks, so that the total cost is y.
So, the cost of 1 bag = $ 12.35
cost of x bags = $12.35 x
The total cost is
y = $12.35 x
It is the equation of a straight line which passes from origin and the slope is 12.35.
f(x) = |7x + 1|– 8
g(x) = -2
Find (f - g)(2).
O A. (f – g)(x) = |7x] – 5
B. (f - g)(x) = 172 – 7 + 2
O c. (f – g)(x) = 17x +11 – 6
O D. (f - g)(x) = 17x – 5||
Answers
Answer:
f-g)(x)= | 7x + 1 | -6 Is correct
Step-by-step explanation:
Functions f(x) and g(x) are illustrations of composite functions.
The value of (f - g)(x) is |7x + 1| - 6
The functions are given as:
[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]
[tex]\mathbf{g(x) = -2}[/tex]
The function (f - g)(x) is calculated using:
[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]
So, we have:
[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]
Remove bracket
[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]
Simplify
[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]
Hence, the value of (f - g)(x) is |7x + 1| - 6
Read more about composite functions at:
https://brainly.com/question/20379727
